Solve the equation:- 1/2 x-3=7
Answers
Answer:
Enter an equation along with the variable you wish to solve it for and click the Solve button.
Solve
x^2+5x+6=0
for
Random
Solve
Solving Equations
The solution of equations is the central theme of algebra. In this chapter we will study some techniques for solving equations having one variable. To accomplish this we will use the skills learned while manipulating the numbers and symbols of algebra as well as the operations on whole numbers, decimals, and fractions that you learned in arithmetics.
CONDITIONAL AND EQUIVALENT EQUATIONS
OBJECTIVES
Upon completing this section you should be able to:
Classify an equation as conditional or an identity.
Solve simple equations mentally.
Determine if certain equations are equivalent.
An equation is a statement in symbols that two number expressions are equal.
Equations can be classified in two main types:
1. An identity is true for all values of the literal and arithmetical numbers in it.
Example 1 5 x 4 = 20 is an identity.
Example 2 2 + 3 = 5 is an identity.
Example 3 2x + 3x = 5x is an identity since any value substituted for x will yield an equality.
2. A conditional equation is true for only certain values of the literal numbers in it.
Example 4 x + 3 = 9 is true only if the literal number x = 6.
Example 5 3x - 4 = 11 is true only if x = 5.
The literal numbers in an equation are sometimes referred to as variables.
Finding the values that make a conditional equation true is one of the main objectives of this text.
A solution or root of an equation is the value of the variable or variables that make the equation a true statement.
The solution or root is said to satisfy the equation.
Solving an equation means finding the solution or root.
Many equations can be solved mentally. Ability to solve an equation mentally will depend on the ability to manipulate the numbers of arithmetic. The better you know the facts of multiplication and addition, the more adept you will be at mentally solving equations.
Example 6 Solve for x: x + 3 =
Answer:
5
Step-by-step explanation:
3 will be transform to 7 and added in it and then solve it